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The transmutation operator for −d2/(w(x) dx2)
Published online by Cambridge University Press: 14 November 2011
Abstract
We would like to obtain the transmutation operator V, associated with the self-adjoint operators −d2/(w(x) dx2) and (−d2/(w(x) dx2)) + h(x), where w(x) ≎ xa as x → 0. We shall show that V = 1 + K, where K is a lower triangular Volterra operator.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 85 - 98
- Copyright
- Copyright © Royal Society of Edinburgh 1995
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